If \( \Large sec \theta -cosec \theta =0 \), then the value of \( \Large tan \theta +cot \theta \) is
Correct Answer: Description for Correct answer:
\( \Large sec \theta -cosec \theta =0 \)
=> \( \Large sec=cosec \theta \)
\( \Large \frac{1}{cos \theta }=\frac{1}{sin \theta } \)
=> \( \Large tan \theta =1 \)
=> \( \Large tan \theta =tan \ 45 ^{\circ} \)
=> \( \Large \theta =45 ^{\circ} \)
\( \Large tan \theta +cot \theta =tan \ 45 ^{\circ} +cot \ 45 ^{\circ} \)
= 1+1=2
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